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quant-ph2026
A generalized harmonic oscillator problem for a spin-1/2 fermion
V. B. Mendrot, A. S. de Castro, P. Alberto
The exact bound-state wavefunctions and the corresponding energy equation are calculated for a new generalized harmonic oscillator problem describing a spin-1/2 fermion in 3+1-dime…
quant-ph2026
Scattering, bound states, and resonances in the one-dimensional Dirac equation via supersymmetric quantum mechanics
Camila C. Soares, Luis B. Castro, Antonio S. de Castro
We develop a unified treatment of scattering and discrete spectra for the one-dimensional Dirac equation with scalar and vector interactions. Under the spin-symmetry condition, the…